Homogenization in a thin domain with an oscillatory boundary

In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of t...

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Detalles Bibliográficos
Autores: Arrieta Algarra, José María, Pereira, Marcone C.
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/41983
Acceso en línea:https://hdl.handle.net/20.500.14352/41983
Access Level:acceso abierto
Palabra clave:517.9
Thin domain
Oscillating boundary
Homogenization
Extension operator
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
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spelling Homogenization in a thin domain with an oscillatory boundaryArrieta Algarra, José MaríaPereira, Marcone C.517.9Thin domainOscillating boundaryHomogenizationExtension operatorEcuaciones diferenciales1202.07 Ecuaciones en DiferenciasIn this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of the thin domain, the amplitude and period of the oscillations are all of the same order, given by the small parameter ϵ.ElsevierUniversidad Complutense de Madrid20112011-01-0120112011-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/41983reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/419832026-06-02T12:44:21Z
dc.title.none.fl_str_mv Homogenization in a thin domain with an oscillatory boundary
title Homogenization in a thin domain with an oscillatory boundary
spellingShingle Homogenization in a thin domain with an oscillatory boundary
Arrieta Algarra, José María
517.9
Thin domain
Oscillating boundary
Homogenization
Extension operator
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
title_short Homogenization in a thin domain with an oscillatory boundary
title_full Homogenization in a thin domain with an oscillatory boundary
title_fullStr Homogenization in a thin domain with an oscillatory boundary
title_full_unstemmed Homogenization in a thin domain with an oscillatory boundary
title_sort Homogenization in a thin domain with an oscillatory boundary
dc.creator.none.fl_str_mv Arrieta Algarra, José María
Pereira, Marcone C.
author Arrieta Algarra, José María
author_facet Arrieta Algarra, José María
Pereira, Marcone C.
author_role author
author2 Pereira, Marcone C.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.9
Thin domain
Oscillating boundary
Homogenization
Extension operator
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
topic 517.9
Thin domain
Oscillating boundary
Homogenization
Extension operator
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
description In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of the thin domain, the amplitude and period of the oscillations are all of the same order, given by the small parameter ϵ.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01
2011
2011-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/41983
url https://hdl.handle.net/20.500.14352/41983
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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